Mathematics College

How do you do this question?

Answers

Answer 1

Step-by-step explanation:

Use the first fundamental theorem of calculus.

∫₆¹⁰ f'(x) dx = f(10) − f(6) = 8 − 8 = 0

Related Questions

Give the next three terms in each Arithmetic Sequence and the common difference

Answers

Answer:

A) Sequence: -5, -10, -15, -20, -25, -30, -35, -40 cd = -5

B) Sequence: -1, 2, 5, 8, 11, 14, 17, 20 cd = 3

C) Sequence: 17, 19, 21, 23, 25, 27, 29, 31 cd = 2

D) Sequence: 11, 16, 21, 26, 31 , 36, 41, 46 cd = 5

E) Sequence: -9, -6, -3, 0, 3, 6, 9, 12 cd = 3

Step-by-step explanation:

A) Sequence: -5, -10, -15, -20, -25

The common difference (cd) - which is the number that we need to add to each term in order to get the next - is -5

and the next three terms are: -30, -35, -40.

B) Sequence: -1, 2, 5, 8, 11,

The common difference is 3, cd = 3

so the next three terms in the sequence are; 14, 17, 20

C) Sequence: 17, 19, 21, 23, 25,

the common difference is 2, cd = 2

so the next three terms in the sequence are: 27, 29, 31

D) Sequence: 11, 16, 21, 26, 31

the common difference is 5, cd = 5

so the next three terms of the sequence are: 36, 41, 46

E) Sequence: -9, -6, -3, 0, 3,

the common difference is 3, cd = 3

so the next three terms in the sequence are: 6, 9, 12

Two angles are supplementary if their sum is 180 degrees. The larger angle is 6 degrees more than five times the measure of the smaller angle. Let
x
represent the measure of the smaller angle and these two angles are supplementary, find the measure of each angle.

Answers

Answer:

Step-by-step explanation:

x+y=180

y=5*x+6

x+5x+6=180

6x=180-6

6x=174

x=174/6

x=29 degrees

y=29*5+6

y=145+6=151

y=151 degrees

Use the simple interest formula to determine the missing value. p =$1325, r =?t=2 years I=$37.10 r=?% (Do not round until the final answer. Then round to one decimal place as needed.)

Answers

Answer:

r = 1.4 %

Step-by-step explanation:

given p(principle) is 1,375$, r(interest rate) is unknown, t(time in years) is 2, and I(Interest / final balance) is 37.10$. The simple interest formula: I = prt can be rewritten as: r = I/pt to solve for r. 37.1 / ( 1325 × 2 ) = 37.1 / 2650 = 0.014 = ( 0.014 * 100 ) % = 1.4 %

7. a. Use the distributive property to rewrite the equation.
Enter the new equation as your answer.
2 (x - 1) - 3 = 5
Enter your answer
8.b. Combine any like terms to rewrite the equation that you entered as an answer in part a.
Enter the new equation as your answer.
Enter your answer
9.c Use addition or subtraction to rewrite the equation that you entered as an answer in part b.
Enter the new equation as your answer.
Enter your answer
10.d. Use multiplication or division to rewrite the equation that you entered as an answer in part c.
Enter the new equation as your answer."

Answers

Answer:

Hey there!

2(x-1)-3=5

2x-2-3=5

2x-5=5

2x=10

x=5

Let me know if this helps :)

What is the perimeter of the rectangle with length of 2x + 3 and width of 5x – 5? Explain your process to find the perimeter.

Answers

Answer:

14x-4

Step-by-step explanation:

length:2x+3

width:5x-5

perimeter of rectangle:2(l+b)

:2(2x+3+5x-5)

:2(7x-2)

:14x-4

•••The perimeter of rectangle(p)=14x-4

two consecutive integers who sum of 111

Answers

Answer:

55 and 56

Step-by-step explanation:

Let the first number = k

the second number = k + 1

k + k + 1 = 111

2k + 1 = 111

2k = 111 - 1

2k = 110

k = 110/2

k = 55

The two numbers are 55 and 56

-2times(3+8divided4)2

Answers

Answer:

Step-by-step explanation:

Answer:-20

Step-by-step explanation: 8/4+3=5 then -2*5 =-10*2 =-20

Can you solve 2g - 13 = 3.
g=

Answers

Steps to solve:

2g - 13 = 3

~Add 13 to both sides

2g = 16

~Divide 2 to both sides

g = 8

Best of Luck!

The solution to the equation 2g - 13 = 3 is g = 8.

To solve the equation 2g - 13 = 3 for g, we'll perform the necessary steps to isolate the variable g on one side of the equation.

Starting with the given equation:

2g - 13 = 3

First, we'll add 13 to both sides to eliminate the -13 term on the left side:

2g - 13 + 13 = 3 + 13

2g = 16

Next, to isolate the variable g, we divide both sides by 2:

(2g)/2 = 16/2

g = 8

Therefore, the solution to the equation 2g - 13 = 3 is g = 8.

In this equation, we initially have a linear expression involving the variable g and a constant term. By performing algebraic operations, we rearrange the equation to have g on one side and the constant value on the other side. This isolates the variable and provides us with a specific value for g that satisfies the equation. In this case, the value of g is determined to be 8, which can be verified by substituting it back into the original equation to see if it holds true.

To learn more about the linear equation;

https://brainly.com/question/29739212

#SPJ6

What the square root of 50/ 250 (rounded to 2 decimal places)? * 0.45 0.44 0.47 0.46

Answers

Answer:

[tex]Root = 0.44[/tex]

Step-by-step explanation:

Required

Determine the square root of [tex]\frac{50}{250}[/tex]

Start by simplifying the fraction

[tex]Digit = \frac{50}{250}[/tex]

Divide the numerator and denominator by 50

[tex]Digit = \frac{1}{5}[/tex]

Next, determine the square root;

[tex]Root = \sqrt{\frac{1}{5}}[/tex]

Split the squarer root

[tex]Root = \frac{\sqrt{1}}{\sqrt{5}}[/tex]

[tex]Root = \frac{1}{\sqrt{5}}[/tex]

Rationalize

[tex]Root = \frac{1}{\sqrt{5}} * \frac{\sqrt{5}}{\sqrt{5}}[/tex]

[tex]Root = \frac{\sqrt{5}}{5}[/tex]

[tex]Root = \frac{2.2360679775}{5}[/tex]

[tex]Root = 0.4472135955[/tex]

[tex]Root = 0.44[/tex] --- Approximated

What is expression is equivalent to 210,704? Is it 20,000+10,000+700+4. 200,000+10,000+700+4. Or 200,000+10,000+700+40??

Answers

Answer:

200,000+10,000+700+4

Step-by-step explanation:

Jade had $520 to spend on extra items this month. She spent .15 on art supplies, 1 10 was spent at the book store, 3 5 was spent at Chicka-fila. How much did she have left of her extra money?

Answers

Answer:

515.25 is what she got left

Step-by-step explanation:

Find the slope of the line that passes through each
pair of points. Express as a fraction in simplest
form. (-2,6), (1,15)

Answers

Answer:

m = 3/1

Step-by-step explanation:

m = (y2 - y1)/(x2 - x1) = (15 - 6)/(1 - (-2)) = 9/3 = 3/1

CAN SOMEONE PLEASE HELP ME ASAP PLEASEEEE!!!

Answers

Answer:

11.4

Step-by-step explanation:

So we know that Triangle ACB is similar to Triangle EFD.

This means that their sides are proportional to each other.

We want to find x or side AB. To do so, we can set up a proportion.

The proportional side to AB is ED. Let's also use BC since we know its value. The proportional side to BC is DF. Thus:

[tex]\frac{AB}{ED}=\frac{BC}{DF}[/tex]

Substitute x for AB, 3.8 for Ed, 15 for BC, and 5 for DF. Thus:

[tex]\frac{x}{3.8}=\frac{15}{5}[/tex]

Reduce the right:

[tex]\frac{x}{3.8}=\frac{3}{1}[/tex]

Cross multiply:

[tex]x=11.4[/tex]

So, the value of x is 11.4

And we're done!

Karen is working on a project that is due in 8 days.

So far, she has spent 3 2/5 hours on it and figures that she is about 4/8 done.

How many more hours will she need to spend on this project?

Express your answer as a decimal, rounded to the nearest hundredth

Answers

Given :

Karen spent 3 2/5 hours on it and figures that she is about 4/8 done.

To Find :

How many more hours will she need to spend on this project .

Solution :

Simplifying time spend in normal fraction .

[tex]t=3\dfrac{2}{5}=\dfrac{(3\times 5)+2}{5}\\\\\\t=\dfrac{17}{5}\ hours[/tex]

Now , time taken to complete full project .

[tex]x=\dfrac{17}{5} \times \dfrac{8}{4}\\\\x=6.8\ hours[/tex]

Therefore , hours required to complete the project is 6.8 hours .

Hence , this is the required solution .

Julie made 25 international long-distance phone calls to London last month. The scatterplot below shows the length and cost of each phone
call she made.
Cost of International
Long Distance Phone Calls
3
Cost of Call (dollars)
.
N
.
.
0
6 12 18 24
Length of Call (minutes)
Which conclusion is best supported by the scatterplot?

Answers

Answer:b

Step-by-step explanation:

Answer:d there is no relationship time and cost varies

Step-by-step explanation:

its conman sense

Tell which set or sets the number below belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers. 8/9

Answers

Answer:

Rational numbers

Step-by-step explanation:

A rational number is a number that can be written as a ratio of two integers. The are expressed as fractions. Given the value 8/9, this value is a fraction and is written as a ratio of two integers 8 and 9.

The value is neither a real number, nor an integer because integers and whole numbers are not expressed as fractions.

Natural numbers are also whole numbers starting from 1 and above. Hence 8/9 is not a natural number as well.

Note that irrational numbers are also classified as real numbers and they can not be written as a ratio of two integers.

Conclusively, 8/9 is only classified as a rational number

Make up your own “which one doesn’t belong” example:
a. 8x^3-64
b. x^6+27y^3
c. 27-x^9
d. -x^3-8